Pith Number

pith:5ZE75NFC

pith:2023:5ZE75NFCMDK4ESG2NUX3VLY72X

not attested not anchored not stored refs pending

The KPZ equation and the directed landscape

Xuan Wu

arxiv:2301.00547 v3 · 2023-01-02 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZE75NFCMDK4ESG2NUX3VLY72X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

The directed landscape in half-space

Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape

Receipt and verification

First computed	2026-07-05T10:54:29.415575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee49feb4a260d5c248da6d2fbaaf1fd5e0dc2ca20aecc257a3c34ce109bdf411

Aliases

arxiv: 2301.00547 · arxiv_version: 2301.00547v3 · doi: 10.48550/arxiv.2301.00547 · pith_short_12: 5ZE75NFCMDK4 · pith_short_16: 5ZE75NFCMDK4ESG2 · pith_short_8: 5ZE75NFC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ZE75NFCMDK4ESG2NUX3VLY72X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ee49feb4a260d5c248da6d2fbaaf1fd5e0dc2ca20aecc257a3c34ce109bdf411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa433db128e4a10b41735aa892b88bd9d1e09fbb2a58c58ece3f804641dfab3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-02T07:23:02Z",
    "title_canon_sha256": "b9e1647b039a8f2a82795327e6422c219caa85f0bade88589a005ee3f900f0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00547",
    "kind": "arxiv",
    "version": 3
  }
}